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Two equations are given below:

a – 3b = 16
a = b – 2

What is the solution to the set of equations in the form (a, b)?


(–2, –6)
(–7, –9)
(–11, –9)
(–12, –10)

2 Answers

3 votes

Answer:

The solution to the set of equations is (-11, -9).

Explanation:

User Denis Evseev
by
7.3k points
3 votes

Good Morning

a-3b=16

a=b-2

Solve a=b -2 for a

Substitute b-2 for a in a-3b=16

a-3b=16

b-2-3b=16

Simplify both sides of the equation

-2b-2=16

Add 2 to both sides

-2b-2+2=16+2

-2b=18

Divide both sides by -2

-2b/-2 = 18/-2

b= -9

Substitute -9 for b in a=b -2

a=b -2

a=-9-2

Simplify both sides of the equation

a= -11

Answer: (-11,-9)


I hope that's help !


Happy Sunday :)

User Jdunk
by
7.1k points